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Finding the Fourth Proportional to 4,662.36, 6,429.50 and 2,983.16

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Solution

The fourth proportional to 4,662.36, 6,429.50 and 2,983.16 is: 4,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.36 : 6,429.50 = 2,983.16 : x
  2. Step 2: Convert to fraction form
    4,662.36/6,429.50 = 2,983.16/x
  3. Step 3: Cross multiply
    4,662.36x = 6,429.50 × 2,983.16
  4. Step 4: Simplify right side
    4,662.36x = 19,180,202.53
  5. Step 5: Solve for x
    x = 19,180,202.53/4,662.36
  6. Step 6: Final answer
    x = 4,113.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.